Question

if x/y+y/x=-1 , x , y is not equal to 0 then the value of x3 - y 3 is
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Answer 1

Answer:

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Answer 2

Answer:

0

Step-by-step explanation:

 Here,

  x/y + y/x = - 1

       ⇒ ( x² + y² ) /xy = - 1

       ⇒ x² + y² = - xy

We know, a³ - b³ = ( a - b )( a² + ab + b² )

Here,

⇒ x³ - y³

⇒ ( x - y )( x² + xy + y² )

⇒ ( x - y )( x² + y² + xy )

    From above, x² + y² = - xy

⇒ ( x - y )( - xy + xy )

⇒ ( x - y )( 0 )

⇒ 0

      Hence x³ - y³ = 0